路面平整度PSD和IRI评价方法比较

吴庆雄; 陈宝春; 奚灵智

路面平整度PSD和IRI评价方法比较

福州大学土木工程学院, 福建福州 350002

基金项目:

福建省青年科技人才创新基金项目 2005J010

详细信息

作者简介:
吴庆雄(1973-)。男，福建南靖人，福州大学副研究员，工学博士，博士后，从事桥梁与结构工程研究

中图分类号: U416.0
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出版历程
- 收稿日期: 2007-07-28
- 刊出日期: 2008-02-25

Comparison of PSD method and IRI method for road roughness evaluation

School of Civil Engineering, Fuzhou University, Fuzhou 350002, Fujian, China

More Information

Author Bio:
Wu Qing-xiong (1973-), male, PhD, associate researcher, +86-591-87892620, wuqingx@fzu.edu.an

摘要

摘要: 为了分析路面平整度功率谱法(PSD) 和国际平整度指数法(IRI) 之间的关系, 采用AR模型模拟满足路面平整度功率谱的路面不平整状态, 采用Newmark β法计算国际平整度指数, 采用最小二乘法得到了PSD法与IRI法之间的关系方程式。研究结果表明: IRI值与路面平度系数的关系为幂函数式, 为了与《公路工程质量检验评定标准》 (JTGF80/1-2004) 所规定的IRI值相对应, 建议在《公路养护技术规范》 (JTJ073-96) 的路面平整度评定等级中增加“极优”项目。
- 路面工程 /
- 路面平整度 /
- 时域分析 /
- 功率谱 /
- 国际平整度指数 /
- 关系方程式
Abstract: In order to analyze the relationship between power spectral density (PSD) method and international roughness index (IRI) method in evaluating road roughness, AR model was adopted to simulate road roughness condition for satisfying PSD, and Newmark β method was employed to calculate IRI values, the relationship formula between PSD method and IRI method was determined by using least square method. Analysis result shows that the relationship between IRI value and road roughness coefficient meets power function, and to correspond to IRI values in quality inspection and evaluation standards for highway engineering (JTG F80/1-2004), a "very good" item of road roughness evaluation should be complemented into technical specifications of maintenance for highway (JTJ 073-96).
- pavement engineering /
- road roughness /
- time domain analysis /
- power spectral density /
- international roughness index /
- relationship formula

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图 1 四分之一车模型

Figure 1. Quarter car model

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图 2 路面不平整曲线

Figure 2. Road roughness curve

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图 3 路面平整度功率谱

Figure 3. PSD of road roughness

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图 4 弹簧质体和非弹簧质体的位移

Figure 4. Displacements of sprung mass and unsprung mass

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图 5 单一初期值下I_IRI与S_q (n₀) 关系

Figure 5. Relationship between I_IRI and S_q (n₀) under one initial datum

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图 6 不同初期值下I_IRI与S_q (n₀) 关系

Figure 6. Relationship between I_IRI and S_q (n₀) under different initial data

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图 7 不同w下路面平整度功率谱

Figure 7. PSD of road roughness under different w

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图 8 I_IRI与S_q (n₀) 的关系

Figure 8. Relationship between I_IRI and S_q (n₀)

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图 9 w与a的关系

Figure 9. Relationship between w and a

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图 10 w与a的回归分析

Figure 10. Regression analysis of w and a

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表 1 路面平整度系数

Table 1. Road roughness coefficients mm²·m

路面等级	下限	几何平均	上限
A	8	16	32
B	32	64	128
C	128	256	512
D	512	1 024	2 048
E	2 048	4 096	8 192
F	8 192	16 384	32 768
G	32 768	65 536	131 072
H	131 072	262 144	524 288

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表 2 路面平整度评价R_RQI值

Table 2. R_RQI values of road roughness evaluation

优	良	中	次	差
≥8.5	7.0~8.5	5.5~7.0	4.0~5.5	< 4.0

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表 3 回归分析结果

Table 3. Result of regression analysis

K	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	R²/%
1	0.6	-0.051	-0.230	45.28
2	0.6	0.107	-0.389	-0.542	83.42
3	0.6	0.031	-0.691	-0.360	0.599	96.85
4	0.6	-0.015	-0.594	0.089	0.493	-0.534	99.13
5	0.6	-0.004	-0.462	0.012	-0.135	-0.488	0.584	99.74
6	0.6	0.009	-0.495	-0.256	-0.042	0.347	0.554	-0.639	99.93

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表 4 GB/T 7031-1986对应的I_IRI值

Table 4. I_IRI values according to GB/T 7031-1986 m·km^-1

路面等级	下限	几何平均	上限
A	1.70	2.40	3.39
B	3.39	4.80	6.79
C	6.79	9.60	13.58
D	13.58	19.20	27.15

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表 5 JTJ 073-96对应的S_q (n₀) 值

Table 5. S_q (n₀) values according to JTJ 073-96

路面等级	R_RQI		I_IRI/ (m·km^-1)		S_q (n₀) / (mm²·m)
路面等级	上限	下限	下限	上限	下限	上限
优	—	8.5	—	4.00	—	44.4
良	8.5	7.0	4.00	6.00	44.4	100.0
中	7.0	5.5	6.00	8.00	100.0	177.8
次	5.5	4.0	8.00	10.00	177.8	277.8
差	4.0	—	10.00	—	277.8	—

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表 6 路面平整度评价建议值

Table 6. Proposed values of road roughness evaluation

路面等级	I_IRI/ (m·km^-1)		S_q (n₀) / (mm²·m)
路面等级	下限	上限	下限	上限
A (极优)	—	2.00	—	11.1
B (优)	2.00	4.00	11.1	44.4
C (良)	4.00	6.00	44.4	100.0
D (中)	6.00	8.00	100.0	177.8
E (次)	8.00	10.00	177.8	277.8
F (差)	10.00	—	277.8	—

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